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345401123712 = 2738591047127
BaseRepresentation
bin1010000011010111000…
…00101110001110000000
31020000112121011002002120
411001223200232032000
521124340141424322
6422401452444240
733645235052451
oct5015340561600
91200477132076
10345401123712
11123535a25547
1256b36179680
1326756b85958
1412a08b89128
158eb8433a5c
hex506b82e380

345401123712 has 64 divisors (see below), whose sum is σ = 918540681600. Its totient is φ = 114999565824.

The previous prime is 345401123707. The next prime is 345401123729. The reversal of 345401123712 is 217321104543.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193708 + ... + 853419.

It is an arithmetic number, because the mean of its divisors is an integer number (14352198150).

Almost surely, 2345401123712 is an apocalyptic number.

345401123712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

345401123712 is an abundant number, since it is smaller than the sum of its proper divisors (573139557888).

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

345401123712 is a wasteful number, since it uses less digits than its factorization.

345401123712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048003 (or 1047991 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 345401123712 in words is "three hundred forty-five billion, four hundred one million, one hundred twenty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 859 1718 2577 3436 5154 6872 10308 13744 20616 27488 41232 54976 82464 109952 164928 329856 1047127 2094254 3141381 4188508 6282762 8377016 12565524 16754032 25131048 33508064 50262096 67016128 100524192 134032256 201048384 402096768 899482093 1798964186 2698446279 3597928372 5396892558 7195856744 10793785116 14391713488 21587570232 28783426976 43175140464 57566853952 86350280928 115133707904 172700561856 345401123712