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345640080 = 24353146457
BaseRepresentation
bin10100100110100…
…000110010010000
3220002101100001110
4110212200302100
51201440440310
654144133320
711364615012
oct2446406220
9802340043
10345640080
11168117565
1297907240
13567ba876
1433c941b2
1520526d20
hex149a0c90

345640080 has 80 divisors (see below), whose sum is σ = 1106072064. Its totient is φ = 89195520.

The previous prime is 345640027. The next prime is 345640103. The reversal of 345640080 is 80046543.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15789 + ... + 30668.

Almost surely, 2345640080 is an apocalyptic number.

345640080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345640080 is an abundant number, since it is smaller than the sum of its proper divisors (760431984).

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

345640080 is a wasteful number, since it uses less digits than its factorization.

345640080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46504 (or 46498 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 345640080 is about 18591.3980109082. The cubic root of 345640080 is about 701.7913845092.

The spelling of 345640080 in words is "three hundred forty-five million, six hundred forty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 46457 92914 139371 185828 232285 278742 371656 464570 557484 696855 743312 929140 1114968 1393710 1440167 1858280 2229936 2787420 2880334 3716560 4320501 5574840 5760668 7200835 8641002 11149680 11521336 14401670 17282004 21602505 23042672 28803340 34564008 43205010 57606680 69128016 86410020 115213360 172820040 345640080