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345602145720 = 2335131811223977
BaseRepresentation
bin1010000011101110111…
…11100011110110111000
31020001001121102001110010
411001313133203312320
521130243122130340
6422433433221520
733653225524446
oct5016737436670
91201047361403
10345602145720
11123629446337
1256b915618a0
132678970a1a0
1412a27755b96
158ecade0b80
hex50777e3db8

345602145720 has 128 divisors (see below), whose sum is σ = 1122730539840. Its totient is φ = 84601221120.

The previous prime is 345602145689. The next prime is 345602145731. The reversal of 345602145720 is 27541206543.

It is a super-2 number, since 2×3456021457202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329629 + ... + 894348.

Almost surely, 2345602145720 is an apocalyptic number.

345602145720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345602145720 is an abundant number, since it is smaller than the sum of its proper divisors (777128394120).

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

345602145720 is a wasteful number, since it uses less digits than its factorization.

345602145720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224185 (or 1224181 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The spelling of 345602145720 in words is "three hundred forty-five billion, six hundred two million, one hundred forty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 181 195 260 312 362 390 520 543 724 780 905 1086 1448 1560 1810 2172 2353 2715 3620 4344 4706 5430 7059 7240 9412 10860 11765 14118 18824 21720 23530 28236 35295 47060 56472 70590 94120 141180 282360 1223977 2447954 3671931 4895908 6119885 7343862 9791816 12239770 14687724 15911701 18359655 24479540 29375448 31823402 36719310 47735103 48959080 63646804 73438620 79558505 95470206 127293608 146877240 159117010 190940412 221539837 238675515 318234020 381880824 443079674 477351030 636468040 664619511 886159348 954702060 1107699185 1329239022 1772318696 1909404120 2215398370 2658478044 2880017881 3323097555 4430796740 5316956088 5760035762 6646195110 8640053643 8861593480 11520071524 13292390220 14400089405 17280107286 23040143048 26584780440 28800178810 34560214572 43200268215 57600357620 69120429144 86400536430 115200715240 172801072860 345602145720