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342074112 = 2831572837
BaseRepresentation
bin10100011000111…
…010001100000000
3212211200011110120
4110120322030000
51200032332422
653535500240
711322403422
oct2430721400
9784604416
10342074112
11166101386
1296687680
1355b3c723
1433606812
152007045c
hex1463a300

342074112 has 72 divisors (see below), whose sum is σ = 916537776. Its totient is φ = 113258496.

The previous prime is 342074099. The next prime is 342074113. The reversal of 342074112 is 211470243.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (342074113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119158 + ... + 121994.

Almost surely, 2342074112 is an apocalyptic number.

342074112 is a gapful number since it is divisible by the number (32) 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 342074112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458268888).

342074112 is an abundant number, since it is smaller than the sum of its proper divisors (574463664).

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

342074112 is a wasteful number, since it uses less digits than its factorization.

342074112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3013 (or 2999 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 342074112 is about 18495.2456593580. The cubic root of 342074112 is about 699.3695766258.

The spelling of 342074112 in words is "three hundred forty-two million, seventy-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 157 192 256 314 384 471 628 768 942 1256 1884 2512 2837 3768 5024 5674 7536 8511 10048 11348 15072 17022 20096 22696 30144 34044 40192 45392 60288 68088 90784 120576 136176 181568 272352 363136 445409 544704 726272 890818 1089408 1336227 1781636 2178816 2672454 3563272 5344908 7126544 10689816 14253088 21379632 28506176 42759264 57012352 85518528 114024704 171037056 342074112