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326269152 = 253211181569
BaseRepresentation
bin10011011100100…
…111100011100000
3211201221012010200
4103130213203200
51132011103102
652213025200
711041146006
oct2334474340
9751835120
10326269152
11158196930
1291325200
1352797891
1431490a76
151d99c51c
hex137278e0

326269152 has 144 divisors (see below), whose sum is σ = 1019556720. Its totient is φ = 98150400.

The previous prime is 326269147. The next prime is 326269187. The reversal of 326269152 is 251962623.

326269152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 573124 + ... + 573692.

It is an arithmetic number, because the mean of its divisors is an integer number (7080255).

Almost surely, 2326269152 is an apocalyptic number.

326269152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 326269152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509778360).

326269152 is an abundant number, since it is smaller than the sum of its proper divisors (693287568).

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

326269152 is a wasteful number, since it uses less digits than its factorization.

326269152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 766 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 326269152 is about 18062.9220227515. The cubic root of 326269152 is about 688.4282307876.

The spelling of 326269152 in words is "three hundred twenty-six million, two hundred sixty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 181 198 264 288 352 362 396 528 543 569 724 792 1056 1086 1138 1448 1584 1629 1707 1991 2172 2276 2896 3168 3258 3414 3982 4344 4552 5121 5792 5973 6259 6516 6828 7964 8688 9104 10242 11946 12518 13032 13656 15928 17376 17919 18208 18777 20484 23892 25036 26064 27312 31856 35838 37554 40968 47784 50072 52128 54624 56331 63712 71676 75108 81936 95568 100144 102989 112662 143352 150216 163872 191136 200288 205978 225324 286704 300432 308967 411956 450648 573408 600864 617934 823912 901296 926901 1132879 1235868 1647824 1802592 1853802 2265758 2471736 3295648 3398637 3707604 4531516 4943472 6797274 7415208 9063032 9886944 10195911 13594548 14830416 18126064 20391822 27189096 29660832 36252128 40783644 54378192 81567288 108756384 163134576 326269152