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45323460 = 223257132767
BaseRepresentation
bin1010110011100…
…1010011000100
310011021200002200
42230321103010
543100322320
64255234500
71060146240
oct254712304
9104250080
1045323460
1123647206
1213218a30
13950b920
14603b420
153ea4290
hex2b394c4

45323460 has 144 divisors (see below), whose sum is σ = 169268736. Its totient is φ = 9559296.

The previous prime is 45323449. The next prime is 45323461. The reversal of 45323460 is 6432354.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45323461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14997 + ... + 17763.

Almost surely, 245323460 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 45323460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84634368).

45323460 is an abundant number, since it is smaller than the sum of its proper divisors (123945276).

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

45323460 is a wasteful number, since it uses less digits than its factorization.

45323460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2802 (or 2797 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 45323460 is about 6732.2700480596. The cubic root of 45323460 is about 356.5395282531.

The spelling of 45323460 in words is "forty-five million, three hundred twenty-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 2767 3276 4095 5460 5534 8190 8301 11068 13835 16380 16602 19369 24903 27670 33204 35971 38738 41505 49806 55340 58107 71942 77476 83010 96845 99612 107913 116214 124515 143884 166020 174321 179855 193690 215826 232428 249030 251797 290535 323739 348642 359710 387380 431652 498060 503594 539565 581070 647478 697284 719420 755391 871605 1007188 1079130 1162140 1258985 1294956 1510782 1618695 1743210 2158260 2266173 2517970 3021564 3237390 3486420 3776955 4532346 5035940 6474780 7553910 9064692 11330865 15107820 22661730 45323460