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345072631230 = 23257013546719
BaseRepresentation
bin1010000010101111110…
…11100111110110111110
31012222200201000221010100
411001113323213312332
521123202043144410
6422305120021530
733634135653435
oct5012773476676
91188621027110
10345072631230
11123387560258
1256a641618a6
1326703ac00c2
14129b72ba11c
158e996978c0
hex5057ee7dbe

345072631230 has 48 divisors (see below), whose sum is σ = 897318414720. Its totient is φ = 92006078784.

The previous prime is 345072631159. The next prime is 345072631237. The reversal of 345072631230 is 32136270543.

345072631230 is a `hidden beast` number, since 3 + 4 + 507 + 26 + 3 + 123 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345072631237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357811 + ... + 904529.

It is an arithmetic number, because the mean of its divisors is an integer number (18694133640).

Almost surely, 2345072631230 is an apocalyptic number.

345072631230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

345072631230 is an abundant number, since it is smaller than the sum of its proper divisors (552245783490).

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

345072631230 is a wasteful number, since it uses less digits than its factorization.

345072631230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553745 (or 553742 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

It can be divided in two parts, 3450726 and 31230, that added together give a square (3481956 = 18662).

The spelling of 345072631230 in words is "three hundred forty-five billion, seventy-two million, six hundred thirty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 7013 14026 21039 35065 42078 63117 70130 105195 126234 210390 315585 546719 631170 1093438 1640157 2733595 3280314 4920471 5467190 8200785 9840942 16401570 24602355 49204710 3834140347 7668280694 11502421041 19170701735 23004842082 34507263123 38341403470 57512105205 69014526246 115024210410 172536315615 345072631230