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342501696 = 26372447
BaseRepresentation
bin10100011010100…
…010100101000000
3212212110220000000
4110122202211000
51200140023241
653553000000
711326134135
oct2432424500
9785426000
10342501696
11166373659
1296853000
1355c5c234
14336b858c
1520106eb6
hex146a2940

342501696 has 112 divisors (see below), whose sum is σ = 1019738880. Its totient is φ = 114120576.

The previous prime is 342501689. The next prime is 342501697. The reversal of 342501696 is 696105243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 342501696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342501697) 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, 138745 + ... + 141191.

Almost surely, 2342501696 is an apocalyptic number.

342501696 is a gapful number since it is divisible by the number (36) 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 342501696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509869440).

342501696 is an abundant number, since it is smaller than the sum of its proper divisors (677237184).

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

342501696 is an frugal number, since it uses more digits than its factorization.

342501696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2480 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 342501696 is about 18506.8013443707. The cubic root of 342501696 is about 699.6608533987.

The spelling of 342501696 in words is "three hundred forty-two million, five hundred one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2187 2447 2592 2916 3888 4374 4894 5184 5832 7341 7776 8748 9788 11664 14682 15552 17496 19576 22023 23328 29364 34992 39152 44046 46656 58728 66069 69984 78304 88092 117456 132138 139968 156608 176184 198207 234912 264276 352368 396414 469824 528552 594621 704736 792828 1057104 1189242 1409472 1585656 1783863 2114208 2378484 3171312 3567726 4228416 4756968 5351589 6342624 7135452 9513936 10703178 12685248 14270904 19027872 21406356 28541808 38055744 42812712 57083616 85625424 114167232 171250848 342501696