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3071274240 = 28357611051
BaseRepresentation
bin1011011100001111…
…1110110100000000
321221001010220012210
42313003332310000
522242221233430
61224432022120
7136052254206
oct26703766400
97831126183
103071274240
111336721881
12718691940
1339c3ab048
14211c7b076
1512e9722b0
hexb70fed00

3071274240 has 144 divisors (see below), whose sum is σ = 9831116736. Its totient is φ = 817152000.

The previous prime is 3071274229. The next prime is 3071274251. The reversal of 3071274240 is 424721703.

3071274240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3071274229) and next prime (3071274251).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3071274198 and 3071274207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2921715 + ... + 2922765.

It is an arithmetic number, because the mean of its divisors is an integer number (68271644).

Almost surely, 23071274240 is an apocalyptic number.

3071274240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3071274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4915558368).

3071274240 is an abundant number, since it is smaller than the sum of its proper divisors (6759842496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3071274240 is a wasteful number, since it uses less digits than its factorization.

3071274240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 3071274240 is about 55419.0783034146. The cubic root of 3071274240 is about 1453.5819866520.

Adding to 3071274240 its reverse (424721703), we get a palindrome (3495995943).

The spelling of 3071274240 in words is "three billion, seventy-one million, two hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 761 768 960 1051 1280 1522 1920 2102 2283 3044 3153 3805 3840 4204 4566 5255 6088 6306 7610 8408 9132 10510 11415 12176 12612 15220 15765 16816 18264 21020 22830 24352 25224 30440 31530 33632 36528 42040 45660 48704 50448 60880 63060 67264 73056 84080 91320 97408 100896 121760 126120 134528 146112 168160 182640 194816 201792 243520 252240 269056 292224 336320 365280 403584 487040 504480 584448 672640 730560 799811 807168 974080 1008960 1345280 1461120 1599622 2017920 2399433 2922240 3199244 3999055 4035840 4798866 6398488 7998110 9597732 11997165 12796976 15996220 19195464 23994330 25593952 31992440 38390928 47988660 51187904 63984880 76781856 95977320 102375808 127969760 153563712 191954640 204751616 255939520 307127424 383909280 511879040 614254848 767818560 1023758080 1535637120 3071274240