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342670496 = 25717292107
BaseRepresentation
bin10100011011001…
…011110010100000
3212212210110112212
4110123023302200
51200210423441
654000341252
711330436230
oct2433136240
9785713485
10342670496
11166479463
1296914828
1355cbb00c
143371dcc0
152013beeb
hex146cbca0

342670496 has 144 divisors (see below), whose sum is σ = 853384896. Its totient is φ = 132206592.

The previous prime is 342670463. The next prime is 342670501. The reversal of 342670496 is 694076243.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3202475 + ... + 3202581.

It is an arithmetic number, because the mean of its divisors is an integer number (5926284).

Almost surely, 2342670496 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 342670496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426692448).

342670496 is an abundant number, since it is smaller than the sum of its proper divisors (510714400).

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

342670496 is a wasteful number, since it uses less digits than its factorization.

342670496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 41.

The square root of 342670496 is about 18511.3612681510. The cubic root of 342670496 is about 699.7757758032.

The spelling of 342670496 in words is "three hundred forty-two million, six hundred seventy thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 29 32 34 56 58 68 107 112 116 119 136 203 214 224 232 238 272 406 428 464 476 493 544 749 812 841 856 928 952 986 1498 1624 1682 1712 1819 1904 1972 2996 3103 3248 3364 3424 3451 3638 3808 3944 5887 5992 6206 6496 6728 6902 7276 7888 11774 11984 12412 12733 13456 13804 14297 14552 15776 21721 23548 23968 24824 25466 26912 27608 28594 29104 43442 47096 49648 50932 52751 55216 57188 58208 86884 89987 94192 99296 100079 101864 105502 110432 114376 173768 179974 188384 200158 203728 211004 228752 347536 359948 369257 400316 407456 422008 457504 629909 695072 719896 738514 800632 844016 1259818 1439792 1477028 1529779 1601264 1688032 2519636 2879584 2954056 3059558 3202528 5039272 5908112 6119116 10078544 10708453 11816224 12238232 20157088 21416906 24476464 42833812 48952928 85667624 171335248 342670496