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3213234240 = 26356749957
BaseRepresentation
bin1011111110000110…
…0001000001000000
322021221021012201120
42333201201001000
523040041443430
61250502432240
7142425016566
oct27741410100
98257235646
103213234240
1113a9872497
12758132680
133c2923548
14226a71a36
1513c164610
hexbf861040

3213234240 has 112 divisors (see below), whose sum is σ = 10354494912. Its totient is φ = 844056576.

The previous prime is 3213234221. The next prime is 3213234281. The reversal of 3213234240 is 424323123.

It is a super-2 number, since 2×32132342402 = 20649748562216755200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3213234240.

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, 39342 + ... + 89298.

Almost surely, 23213234240 is an apocalyptic number.

3213234240 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 3213234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5177247456).

3213234240 is an abundant number, since it is smaller than the sum of its proper divisors (7141260672).

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

3213234240 is a wasteful number, since it uses less digits than its factorization.

3213234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50044 (or 50034 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3213234240 is about 56685.3970613244. The cubic root of 3213234240 is about 1475.6412785609.

Adding to 3213234240 its reverse (424323123), we get a palindrome (3637557363).

The spelling of 3213234240 in words is "three billion, two hundred thirteen million, two hundred thirty-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 67 80 96 120 134 160 192 201 240 268 320 335 402 480 536 670 804 960 1005 1072 1340 1608 2010 2144 2680 3216 4020 4288 5360 6432 8040 10720 12864 16080 21440 32160 49957 64320 99914 149871 199828 249785 299742 399656 499570 599484 749355 799312 999140 1198968 1498710 1598624 1998280 2397936 2997420 3197248 3347119 3996560 4795872 5994840 6694238 7993120 9591744 10041357 11989680 13388476 15986240 16735595 20082714 23979360 26776952 33471190 40165428 47958720 50206785 53553904 66942380 80330856 100413570 107107808 133884760 160661712 200827140 214215616 267769520 321323424 401654280 535539040 642646848 803308560 1071078080 1606617120 3213234240