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1077068304 = 243213797283
BaseRepresentation
bin100000000110010…
…1100001000010000
32210001200201221200
41000030230020100
54201212141204
6254513151200
735455633554
oct10014541020
92701621850
101077068304
11502a823a4
1226085b500
131421b2030
14a308d864
1564856539
hex4032c210

1077068304 has 120 divisors (see below), whose sum is σ = 3287706240. Its totient is φ = 327165696.

The previous prime is 1077068281. The next prime is 1077068339. The reversal of 1077068304 is 4038607701.

It is a super-2 number, since 2×10770683042 = 2320152262962872832, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 144247 + ... + 151529.

It is an arithmetic number, because the mean of its divisors is an integer number (27397552).

Almost surely, 21077068304 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 1077068304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643853120).

1077068304 is an abundant number, since it is smaller than the sum of its proper divisors (2210637936).

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

1077068304 is a wasteful number, since it uses less digits than its factorization.

1077068304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7389 (or 7380 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1077068304 is about 32818.7188049747. The cubic root of 1077068304 is about 1025.0563693766.

The spelling of 1077068304 in words is "one billion, seventy-seven million, sixty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 79 104 117 144 156 158 208 234 237 312 316 468 474 624 632 711 936 948 1027 1264 1422 1872 1896 2054 2844 3081 3792 4108 5688 6162 7283 8216 9243 11376 12324 14566 16432 18486 21849 24648 29132 36972 43698 49296 58264 65547 73944 87396 94679 116528 131094 147888 174792 189358 262188 284037 349584 378716 524376 568074 575357 757432 852111 1048752 1136148 1150714 1514864 1704222 1726071 2272296 2301428 3408444 3452142 4544592 4602856 5178213 6816888 6904284 7479641 9205712 10356426 13633776 13808568 14959282 20712852 22438923 27617136 29918564 41425704 44877846 59837128 67316769 82851408 89755692 119674256 134633538 179511384 269267076 359022768 538534152 1077068304