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345267628384 = 2576617872963
BaseRepresentation
bin1010000011000111000…
…11011110100101100000
31020000012021221210221011
411001203203132211200
521124102003102014
6422340323310304
733642024263320
oct5014343364540
91200167853834
10345267628384
11123477636528
1256ab951b394
1326735315233
14129d5159280
158eab8647c4
hex50638de960

345267628384 has 96 divisors (see below), whose sum is σ = 779278945536. Its totient is φ = 147510443520.

The previous prime is 345267628373. The next prime is 345267628393. The reversal of 345267628384 is 483826762543.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116524887 + ... + 116527849.

It is an arithmetic number, because the mean of its divisors is an integer number (8117489016).

Almost surely, 2345267628384 is an apocalyptic number.

It is an amenable number.

345267628384 is an abundant number, since it is smaller than the sum of its proper divisors (434011317152).

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

345267628384 is a wasteful number, since it uses less digits than its factorization.

345267628384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4428 (or 4420 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 58.

The spelling of 345267628384 in words is "three hundred forty-five billion, two hundred sixty-seven million, six hundred twenty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 661 787 1322 1574 2644 2963 3148 4627 5288 5509 5926 6296 9254 10576 11018 11852 12592 18508 20741 21152 22036 23704 25184 37016 41482 44072 47408 74032 82964 88144 94816 148064 165928 176288 331856 520207 663712 1040414 1958543 2080828 2331881 3641449 3917086 4161656 4663762 7282898 7834172 8323312 9327524 13709801 14565796 15668344 16323167 16646624 18655048 27419602 29131592 31336688 32646334 37310096 54839204 58263184 62673376 65292668 74620192 109678408 116526368 130585336 219356816 261170672 438713632 522341344 1541373341 3082746682 6165493364 10789613387 12330986728 21579226774 24661973456 43158453548 49323946912 86316907096 172633814192 345267628384