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3478813842 = 2372911172557
BaseRepresentation
bin1100111101011010…
…0111110010010010
322222110000001110010
43033112213302102
524111034020332
61333111015350
7152131300260
oct31726476222
98873001403
103478813842
111525777369
1281106a556
1343595c33a
14250045430
151556249cc
hexcf5a7c92

3478813842 has 64 divisors (see below), whose sum is σ = 8236350720. Its totient is φ = 958438656.

The previous prime is 3478813837. The next prime is 3478813843. The reversal of 3478813842 is 2483188743.

It is a super-3 number, since 3×34788138423 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3478813791 and 3478813800.

It is not an unprimeable number, because it can be changed into a prime (3478813843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1359228 + ... + 1361784.

It is an arithmetic number, because the mean of its divisors is an integer number (128692980).

Almost surely, 23478813842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3478813842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4118175360).

3478813842 is an abundant number, since it is smaller than the sum of its proper divisors (4757536878).

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

3478813842 is a wasteful number, since it uses less digits than its factorization.

3478813842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3715.

The product of its digits is 1032192, while the sum is 48.

The square root of 3478813842 is about 58981.4703275529. The cubic root of 3478813842 is about 1515.2247764170.

The spelling of 3478813842 in words is "three billion, four hundred seventy-eight million, eight hundred thirteen thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 406 609 1117 1218 2234 2557 3351 5114 6702 7671 7819 15342 15638 17899 23457 32393 35798 46914 53697 64786 74153 97179 107394 148306 194358 222459 226751 444918 453502 519071 680253 1038142 1360506 1557213 2856169 3114426 5712338 8568507 17137014 19993183 39986366 59979549 82828901 119959098 165657802 248486703 496973406 579802307 1159604614 1739406921 3478813842