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1045065384 = 2332112139863
BaseRepresentation
bin111110010010100…
…110111010101000
32200211110211012100
4332102212322220
54120014043014
6251411213400
734616623566
oct7622467250
92624424170
101045065384
11496a04100
12251ba7260
131386884ac
149cb1ca36
1561b34009
hex3e4a6ea8

1045065384 has 144 divisors (see below), whose sum is σ = 3137097600. Its totient is φ = 314043840.

The previous prime is 1045065383. The next prime is 1045065409. The reversal of 1045065384 is 4835605401.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1045065383) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1210537 + ... + 1211399.

It is an arithmetic number, because the mean of its divisors is an integer number (21785400).

Almost surely, 21045065384 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 1045065384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568548800).

1045065384 is an abundant number, since it is smaller than the sum of its proper divisors (2092032216).

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

1045065384 is a wasteful number, since it uses less digits than its factorization.

1045065384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1045065384 is about 32327.4710424431. The cubic root of 1045065384 is about 1014.8016255930.

The spelling of 1045065384 in words is "one billion, forty-five million, sixty-five thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 139 198 242 264 278 363 396 417 484 556 726 792 834 863 968 1089 1112 1251 1452 1529 1668 1726 2178 2502 2589 2904 3058 3336 3452 4356 4587 5004 5178 6116 6904 7767 8712 9174 9493 10008 10356 12232 13761 15534 16819 18348 18986 20712 27522 28479 31068 33638 36696 37972 50457 55044 56958 62136 67276 75944 85437 100914 104423 110088 113916 119957 134552 151371 170874 201828 208846 227832 239914 302742 313269 341748 359871 403656 417692 479828 605484 626538 683496 719742 835384 939807 959656 1079613 1210968 1253076 1319527 1439484 1879614 2159226 2506152 2639054 2878968 3759228 3958581 4318452 5278108 7518456 7917162 8636904 10556216 11875743 14514797 15834324 23751486 29029594 31668648 43544391 47502972 58059188 87088782 95005944 116118376 130633173 174177564 261266346 348355128 522532692 1045065384