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344034111072 = 2536329566233
BaseRepresentation
bin1010000000110100000…
…01111110111001100000
31012220000022212122021210
411000122001332321200
521114040213023242
6422014100550120
733566325460041
oct5003201767140
91186008778253
10344034111072
111229a4317733
12568143b2340
13265998b6b32
14129193c28c8
158e38407d9c
hex501a07ee60

344034111072 has 48 divisors (see below), whose sum is σ = 903233827440. Its totient is φ = 114659715072.

The previous prime is 344034111013. The next prime is 344034111097. The reversal of 344034111072 is 270111430443.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3440341110722 (a number of 24 digits) contains 22 as substring.

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, 324468 + ... + 890700.

It is an arithmetic number, because the mean of its divisors is an integer number (18817371405).

Almost surely, 2344034111072 is an apocalyptic number.

344034111072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

344034111072 is an abundant number, since it is smaller than the sum of its proper divisors (559199716368).

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

344034111072 is a wasteful number, since it uses less digits than its factorization.

344034111072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572575 (or 572567 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 344034111072 in words is "three hundred forty-four billion, thirty-four million, one hundred eleven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 6329 12658 18987 25316 37974 50632 75948 101264 151896 202528 303792 566233 607584 1132466 1698699 2264932 3397398 4529864 6794796 9059728 13589592 18119456 27179184 54358368 3583688657 7167377314 10751065971 14334754628 21502131942 28669509256 43004263884 57339018512 86008527768 114678037024 172017055536 344034111072