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1077342864 = 2431319891021
BaseRepresentation
bin100000000110110…
…1111001010010000
32210002012200120120
41000031233022100
54201244432424
6254523110240
735461156203
oct10015571220
92702180516
101077342864
1150314a704
12260972380
13142279cb0
14a312193a
15648aca79
hex4036f290

1077342864 has 160 divisors (see below), whose sum is σ = 3193545600. Its totient is φ = 310210560.

The previous prime is 1077342841. The next prime is 1077342869. The reversal of 1077342864 is 4682437701.

It is a super-2 number, since 2×10773428642 = 2321335293223444992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1077342869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1054674 + ... + 1055694.

It is an arithmetic number, because the mean of its divisors is an integer number (19959660).

Almost surely, 21077342864 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 1077342864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596772800).

1077342864 is an abundant number, since it is smaller than the sum of its proper divisors (2116202736).

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

1077342864 is a wasteful number, since it uses less digits than its factorization.

1077342864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 1077342864 is about 32822.9015170810. The cubic root of 1077342864 is about 1025.1434624498.

The spelling of 1077342864 in words is "one billion, seventy-seven million, three hundred forty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 89 104 114 152 156 178 208 228 247 267 304 312 356 456 494 534 624 712 741 912 988 1021 1068 1157 1424 1482 1691 1976 2042 2136 2314 2964 3063 3382 3471 3952 4084 4272 4628 5073 5928 6126 6764 6942 8168 9256 10146 11856 12252 13273 13528 13884 16336 18512 19399 20292 21983 24504 26546 27056 27768 38798 39819 40584 43966 49008 53092 55536 58197 65949 77596 79638 81168 87932 90869 106184 116394 131898 155192 159276 175864 181738 212368 232788 252187 263796 272607 310384 318552 351728 363476 465576 504374 527592 545214 637104 726952 756561 931152 1008748 1055184 1090428 1181297 1453904 1513122 1726511 2017496 2180856 2362594 3026244 3453022 3543891 4034992 4361712 4725188 5179533 6052488 6906044 7087782 9450376 10359066 12104976 13812088 14175564 18900752 20718132 22444643 27624176 28351128 41436264 44889286 56702256 67333929 82872528 89778572 134667858 179557144 269335716 359114288 538671432 1077342864