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64314460 = 22572293173
BaseRepresentation
bin1111010101010…
…1110001011100
311111000111212001
43311111301130
5112431030320
610214252044
71410443500
oct365256134
9144014761
1064314460
1133338451
1219657024
131042a9c2
148782300
1559a620a
hex3d55c5c

64314460 has 144 divisors (see below), whose sum is σ = 170069760. Its totient is φ = 20321280.

The previous prime is 64314457. The next prime is 64314461. The reversal of 64314460 is 6441346.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64314461) 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, 880984 + ... + 881056.

It is an arithmetic number, because the mean of its divisors is an integer number (1181040).

Almost surely, 264314460 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 64314460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85034880).

64314460 is an abundant number, since it is smaller than the sum of its proper divisors (105755300).

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

64314460 is a wasteful number, since it uses less digits than its factorization.

64314460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 64314460 is about 8019.6296672602. The cubic root of 64314460 is about 400.6540549474.

It can be divided in two parts, 643144 and 60, that added together give a square (643204 = 8022).

The spelling of 64314460 in words is "sixty-four million, three hundred fourteen thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 29 31 35 49 58 62 70 73 98 116 124 140 145 146 155 196 203 217 245 290 292 310 365 406 434 490 511 580 620 730 812 868 899 980 1015 1022 1085 1421 1460 1519 1798 2030 2044 2117 2170 2263 2555 2842 3038 3577 3596 4060 4234 4340 4495 4526 5110 5684 6076 6293 7105 7154 7595 8468 8990 9052 10220 10585 11315 12586 14210 14308 14819 15190 15841 17885 17980 21170 22630 25172 28420 29638 30380 31465 31682 35770 42340 44051 45260 59276 62930 63364 65627 71540 74095 79205 88102 103733 110887 125860 131254 148190 158410 176204 207466 220255 221774 262508 296380 316820 328135 414932 440510 443548 459389 518665 554435 656270 881020 918778 1037330 1108870 1312540 1837556 2074660 2217740 2296945 3215723 4593890 6431446 9187780 12862892 16078615 32157230 64314460