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345444400740 = 223543271330577
BaseRepresentation
bin1010000011011100001…
…01110011111001100100
31020000122121120210000110
411001232011303321210
521124432231310430
6422410040213020
733646301646525
oct5015605637144
91200577523013
10345444400740
111235583a418a
1256b4876a170
1326762b28c6a
1412a1081284c
158ebc1317b0
hex506e173e64

345444400740 has 48 divisors (see below), whose sum is σ = 967468586112. Its totient is φ = 92097148416.

The previous prime is 345444400681. The next prime is 345444400751. The reversal of 345444400740 is 47004444543.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405669 + ... + 924908.

It is an arithmetic number, because the mean of its divisors is an integer number (20155595544).

Almost surely, 2345444400740 is an apocalyptic number.

345444400740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345444400740 is an abundant number, since it is smaller than the sum of its proper divisors (622024185372).

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

345444400740 is a wasteful number, since it uses less digits than its factorization.

345444400740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334916 (or 1334914 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 39.

The spelling of 345444400740 in words is "three hundred forty-five billion, four hundred forty-four million, four hundred thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 4327 8654 12981 17308 21635 25962 43270 51924 64905 86540 129810 259620 1330577 2661154 3991731 5322308 6652885 7983462 13305770 15966924 19958655 26611540 39917310 79834620 5757406679 11514813358 17272220037 23029626716 28787033395 34544440074 57574066790 69088880148 86361100185 115148133580 172722200370 345444400740