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3437368242 = 2371121997367
BaseRepresentation
bin1100110011100010…
…0001001110110010
322212120000101202220
43030320201032302
524014431240432
61325030421510
7151116101520
oct31470411662
98776011686
103437368242
111504339700
127bb201896
1342a1aa809
14248737310
15151b8972c
hexcce213b2

3437368242 has 192 divisors, whose sum is σ = 9209303040. Its totient is φ = 834831360.

The previous prime is 3437368229. The next prime is 3437368267. The reversal of 3437368242 is 2428637343.

It is a super-2 number, since 2×34373682422 = 23631000862220341128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3437368194 and 3437368203.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9365943 + ... + 9366309.

It is an arithmetic number, because the mean of its divisors is an integer number (47965120).

Almost surely, 23437368242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3437368242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4604651520).

3437368242 is an abundant number, since it is smaller than the sum of its proper divisors (5771934798).

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

3437368242 is a wasteful number, since it uses less digits than its factorization.

3437368242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 506 counting only the distinct ones).

The product of its digits is 580608, while the sum is 42.

The square root of 3437368242 is about 58629.0733510261. The cubic root of 3437368242 is about 1509.1834015747.

The spelling of 3437368242 in words is "three billion, four hundred thirty-seven million, three hundred sixty-eight thousand, two hundred forty-two".