Search a number
-
+
3970314792 = 23371491523
BaseRepresentation
bin1110110010100110…
…0011001000101000
3101020200211220000000
43230221203020220
531112400033132
61453545343000
7200250055533
oct35451431050
911220756000
103970314792
1117581592a4
12929797a60
134b3729ac2
14299427a1a
1518385e87c
hexeca63228

3970314792 has 128 divisors (see below), whose sum is σ = 11247120000. Its totient is φ = 1313692992.

The previous prime is 3970314779. The next prime is 3970314797. The reversal of 3970314792 is 2974130793.

It is not an unprimeable number, because it can be changed into a prime (3970314797) 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, 2606143 + ... + 2607665.

It is an arithmetic number, because the mean of its divisors is an integer number (87868125).

Almost surely, 23970314792 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 3970314792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5623560000).

3970314792 is an abundant number, since it is smaller than the sum of its proper divisors (7276805208).

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

3970314792 is a wasteful number, since it uses less digits than its factorization.

3970314792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 3970314792 is about 63010.4339931094. The cubic root of 3970314792 is about 1583.4644367107.

The spelling of 3970314792 in words is "three billion, nine hundred seventy million, three hundred fourteen thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 149 162 216 243 298 324 447 486 596 648 729 894 972 1192 1341 1458 1523 1788 1944 2187 2682 2916 3046 3576 4023 4374 4569 5364 5832 6092 8046 8748 9138 10728 12069 12184 13707 16092 17496 18276 24138 27414 32184 36207 36552 41121 48276 54828 72414 82242 96552 108621 109656 123363 144828 164484 217242 226927 246726 289656 325863 328968 370089 434484 453854 493452 651726 680781 740178 868968 907708 986904 1110267 1303452 1361562 1480356 1815416 2042343 2220534 2606904 2723124 2960712 3330801 4084686 4441068 5446248 6127029 6661602 8169372 8882136 12254058 13323204 16338744 18381087 24508116 26646408 36762174 49016232 55143261 73524348 110286522 147048696 165429783 220573044 330859566 441146088 496289349 661719132 992578698 1323438264 1985157396 3970314792