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3204427392 = 273711447
BaseRepresentation
bin1011111011111111…
…1010111010000000
322021022200210000000
42332333322322000
523030313134032
61245550000000
7142260116625
oct27677727200
98238623000
103204427392
1113a48a7801
127551a6000
133c0b5baaa
1422581c34c
1513b4c4e7c
hexbeffae80

3204427392 has 128 divisors (see below), whose sum is σ = 9575107200. Its totient is φ = 1068049152.

The previous prime is 3204427363. The next prime is 3204427409. The reversal of 3204427392 is 2937244023.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274213 + ... + 285659.

It is an arithmetic number, because the mean of its divisors is an integer number (74805525).

Almost surely, 23204427392 is an apocalyptic number.

3204427392 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 3204427392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4787553600).

3204427392 is an abundant number, since it is smaller than the sum of its proper divisors (6370679808).

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

3204427392 is an frugal number, since it uses more digits than its factorization.

3204427392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11482 (or 11452 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3204427392 is about 56607.6619548979. The cubic root of 3204427392 is about 1474.2918967523.

The spelling of 3204427392 in words is "three billion, two hundred four million, four hundred twenty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 729 864 972 1152 1296 1458 1728 1944 2187 2592 2916 3456 3888 4374 5184 5832 7776 8748 10368 11447 11664 15552 17496 22894 23328 31104 34341 34992 45788 46656 68682 69984 91576 93312 103023 137364 139968 183152 206046 274728 279936 309069 366304 412092 549456 618138 732608 824184 927207 1098912 1236276 1465216 1648368 1854414 2197824 2472552 2781621 3296736 3708828 4395648 4945104 5563242 6593472 7417656 8344863 9890208 11126484 13186944 14835312 16689726 19780416 22252968 25034589 29670624 33379452 39560832 44505936 50069178 59341248 66758904 89011872 100138356 118682496 133517808 178023744 200276712 267035616 356047488 400553424 534071232 801106848 1068142464 1602213696 3204427392