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1339652304 = 243319227719
BaseRepresentation
bin100111111011001…
…0111100011010000
310110100210101111000
41033312113203100
510220422333204
6340533222000
745124566564
oct11766274320
93410711430
101339652304
11628220671
12314791900
1318470c493
14c9cc36a4
157c924039
hex4fd978d0

1339652304 has 160 divisors (see below), whose sum is σ = 4071168000. Its totient is φ = 420598656.

The previous prime is 1339652291. The next prime is 1339652311. The reversal of 1339652304 is 4032569331.

It is a happy number.

It is a super-2 number, since 2×13396523042 = 3589336591225016832, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1862857 + ... + 1863575.

It is an arithmetic number, because the mean of its divisors is an integer number (25444800).

Almost surely, 21339652304 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 1339652304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035584000).

1339652304 is an abundant number, since it is smaller than the sum of its proper divisors (2731515696).

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

1339652304 is a wasteful number, since it uses less digits than its factorization.

1339652304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 1339652304 is about 36601.2609618849. The cubic root of 1339652304 is about 1102.3784085443.

The spelling of 1339652304 in words is "one billion, three hundred thirty-nine million, six hundred fifty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 227 228 304 342 432 454 456 513 681 684 719 908 912 1026 1362 1368 1438 1816 2043 2052 2157 2724 2736 2876 3632 4086 4104 4313 4314 5448 5752 6129 6471 8172 8208 8626 8628 10896 11504 12258 12939 12942 13661 16344 17252 17256 19413 24516 25878 25884 27322 32688 34504 34512 38817 38826 40983 49032 51756 51768 54644 69008 77634 77652 81966 98064 103512 103536 109288 116451 122949 155268 155304 163213 163932 207024 218576 232902 245898 310536 310608 326426 327864 368847 465804 489639 491796 621072 652852 655728 737694 931608 979278 983592 1305704 1468917 1475388 1863216 1958556 1967184 2611408 2937834 2950776 3101047 3917112 4406751 5875668 5901552 6202094 7834224 8813502 9303141 11751336 12404188 17627004 18606282 23502672 24808376 27909423 35254008 37212564 49616752 55818846 70508016 74425128 83728269 111637692 148850256 167456538 223275384 334913076 446550768 669826152 1339652304