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34404014320 = 24513972571327
BaseRepresentation
bin100000000010101000…
…111001100011110000
310021210200020000021121
4200002220321203300
51030424411424240
623445513232024
72325364203514
oct400250714360
9107720200247
1034404014320
1113655195195
126801a02614
133323902330
1419452ca144
15d655a704a
hex802a398f0

34404014320 has 160 divisors (see below), whose sum is σ = 87434903808. Its totient is φ = 12513705984.

The previous prime is 34404014311. The next prime is 34404014339. The reversal of 34404014320 is 2341040443.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25925497 + ... + 25926823.

Almost surely, 234404014320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34404014320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43717451904).

34404014320 is an abundant number, since it is smaller than the sum of its proper divisors (53030889488).

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

34404014320 is a wasteful number, since it uses less digits than its factorization.

34404014320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 34404014320 its reverse (2341040443), we get a palindrome (36745054763).

The spelling of 34404014320 in words is "thirty-four billion, four hundred four million, fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 97 104 130 194 208 257 260 388 485 514 520 776 970 1028 1040 1261 1285 1327 1552 1940 2056 2522 2570 2654 3341 3880 4112 5044 5140 5308 6305 6635 6682 7760 10088 10280 10616 12610 13270 13364 16705 17251 20176 20560 21232 24929 25220 26540 26728 33410 34502 49858 50440 53080 53456 66820 69004 86255 99716 100880 106160 124645 128719 133640 138008 172510 199432 249290 257438 267280 276016 324077 341039 345020 398864 498580 514876 643595 648154 682078 690040 997160 1029752 1287190 1296308 1364156 1380080 1620385 1673347 1705195 1994320 2059504 2574380 2592616 2728312 3240770 3346694 3410390 4433507 5148760 5185232 5456624 6481540 6693388 6820780 8366735 8867014 10297520 12963080 13386776 13641560 16733470 17734028 22167535 25926160 26773552 27283120 33080783 33466940 35468056 44335070 66161566 66933880 70936112 88670140 132323132 133867760 165403915 177340280 264646264 330807830 354680560 430050179 529292528 661615660 860100358 1323231320 1720200716 2150250895 2646462640 3440401432 4300501790 6880802864 8601003580 17202007160 34404014320