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340172672 = 2773137331
BaseRepresentation
bin10100010001101…
…001111110000000
3212201002120011212
4110101221332000
51144041011142
653431025252
711300264030
oct2421517600
9781076155
10340172672
11165022844
1295b0b228
1355625108
143326d8c0
151ece6d82
hex14469f80

340172672 has 128 divisors (see below), whose sum is σ = 823572480. Its totient is φ = 136857600.

The previous prime is 340172663. The next prime is 340172683. The reversal of 340172672 is 276271043.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1027547 + ... + 1027877.

It is an arithmetic number, because the mean of its divisors is an integer number (6434160).

Almost surely, 2340172672 is an apocalyptic number.

340172672 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 340172672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411786240).

340172672 is an abundant number, since it is smaller than the sum of its proper divisors (483399808).

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

340172672 is a wasteful number, since it uses less digits than its factorization.

340172672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 340172672 is about 18443.7705472607. The cubic root of 340172672 is about 698.0713385925.

The spelling of 340172672 in words is "three hundred forty million, one hundred seventy-two thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 37 56 62 64 74 112 124 128 148 217 224 248 259 296 331 434 448 496 518 592 662 868 896 992 1036 1147 1184 1324 1736 1984 2072 2294 2317 2368 2648 3472 3968 4144 4588 4634 4736 5296 6944 8029 8288 9176 9268 10261 10592 12247 13888 16058 16576 18352 18536 20522 21184 24494 27776 32116 33152 36704 37072 41044 42368 48988 64232 71827 73408 74144 82088 85729 97976 128464 143654 146816 148288 164176 171458 195952 256928 287308 296576 328352 342916 379657 391904 513856 574616 656704 685832 759314 783808 1027712 1149232 1313408 1371664 1518628 1567616 2298464 2657599 2743328 3037256 4596928 5315198 5486656 6074512 9193856 10630396 10973312 12149024 21260792 24298048 42521584 48596096 85043168 170086336 340172672