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342406792 = 237131773379
BaseRepresentation
bin10100011010001…
…011011010001000
3212212022001211001
4110122023122020
51200124004132
653550544344
711325260350
oct2432133210
9785261731
10342406792
11166309322
12968080b4
1355c27c90
1433691b60
15200d8ce7
hex1468b688

342406792 has 128 divisors (see below), whose sum is σ = 850348800. Its totient is φ = 125411328.

The previous prime is 342406751. The next prime is 342406829. The reversal of 342406792 is 297604243.

It is a super-2 number, since 2×3424067922 = 234484822415462528, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 903259 + ... + 903637.

It is an arithmetic number, because the mean of its divisors is an integer number (6643350).

Almost surely, 2342406792 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 342406792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425174400).

342406792 is an abundant number, since it is smaller than the sum of its proper divisors (507942008).

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

342406792 is a wasteful number, since it uses less digits than its factorization.

342406792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 342406792 is about 18504.2371363966. The cubic root of 342406792 is about 699.5962242807.

The spelling of 342406792 in words is "three hundred forty-two million, four hundred six thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 52 56 68 73 91 104 119 136 146 182 221 238 292 364 379 442 476 511 584 728 758 884 949 952 1022 1241 1516 1547 1768 1898 2044 2482 2653 3032 3094 3796 4088 4927 4964 5306 6188 6443 6643 7592 8687 9854 9928 10612 12376 12886 13286 16133 17374 19708 21224 25772 26572 27667 32266 34489 34748 39416 45101 51544 53144 55334 64532 68978 69496 83759 90202 110668 112931 129064 137956 167518 180404 193669 221336 225862 275912 335036 359671 360808 387338 451724 470339 586313 670072 719342 774676 903448 940678 1172626 1438684 1549352 1881356 2345252 2517697 2877368 3292373 3762712 4690504 5035394 6114407 6584746 10070788 12228814 13169492 20141576 24457628 26338984 42800849 48915256 85601698 171203396 342406792