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3493692168 = 2331724135531
BaseRepresentation
bin1101000000111101…
…1000001100001000
3100000110222221200020
43100033120030020
524123341122133
61334401540440
7152401615311
oct32017301410
910013887606
103493692168
1115331096aa
12816044720
13438a6b495
14251dd9608
15156ab30b3
hexd03d8308

3493692168 has 64 divisors (see below), whose sum is σ = 9286643520. Its totient is φ = 1091481600.

The previous prime is 3493692161. The next prime is 3493692173. The reversal of 3493692168 is 8612963943.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 3493692168.

It is not an unprimeable number, because it can be changed into a prime (3493692161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80563 + ... + 116093.

It is an arithmetic number, because the mean of its divisors is an integer number (145103805).

Almost surely, 23493692168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3493692168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4643321760).

3493692168 is an abundant number, since it is smaller than the sum of its proper divisors (5792951352).

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

3493692168 is a wasteful number, since it uses less digits than its factorization.

3493692168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35798 (or 35794 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 51.

The square root of 3493692168 is about 59107.4628790646. The cubic root of 3493692168 is about 1517.3818282480.

The spelling of 3493692168 in words is "three billion, four hundred ninety-three million, six hundred ninety-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 241 408 482 723 964 1446 1928 2892 4097 5784 8194 12291 16388 24582 32776 35531 49164 71062 98328 106593 142124 213186 284248 426372 604027 852744 1208054 1812081 2416108 3624162 4832216 7248324 8562971 14496648 17125942 25688913 34251884 51377826 68503768 102755652 145570507 205511304 291141014 436711521 582282028 873423042 1164564056 1746846084 3493692168