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342122496 = 213313921
BaseRepresentation
bin10100011001000…
…110000000000000
3212211202121211120
4110121012000000
51200040404441
653540512240
711322664452
oct2431060000
9784677746
10342122496
11166134771
12966ab680
1355b58761
143361a2d2
152007e966
hex14646000

342122496 has 56 divisors (see below), whose sum is σ = 912336504. Its totient is φ = 114032640.

The previous prime is 342122477. The next prime is 342122503. The reversal of 342122496 is 694221243.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17616 + ... + 31536.

Almost surely, 2342122496 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 342122496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456168252).

342122496 is an abundant number, since it is smaller than the sum of its proper divisors (570214008).

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

342122496 is an equidigital number, since it uses as much as digits as its factorization.

342122496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13950 (or 13926 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 342122496 is about 18496.5536249324. The cubic root of 342122496 is about 699.4025487227.

The spelling of 342122496 in words is "three hundred forty-two million, one hundred twenty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8192 12288 13921 24576 27842 41763 55684 83526 111368 167052 222736 334104 445472 668208 890944 1336416 1781888 2672832 3563776 5345664 7127552 10691328 14255104 21382656 28510208 42765312 57020416 85530624 114040832 171061248 342122496