Search a number
-
+
1374170304 = 26313607907
BaseRepresentation
bin101000111101000…
…0010110011000000
310112202202002021110
41101322002303000
510303241422204
6344205123320
746024153263
oct12172026300
93482662243
101374170304
11645757541
12324259540
1318b906a30
14d070acda
1580991889
hex51e82cc0

1374170304 has 112 divisors (see below), whose sum is σ = 3926279168. Its totient is φ = 421659648.

The previous prime is 1374170257. The next prime is 1374170321. The reversal of 1374170304 is 4030714731.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1514619 + ... + 1515525.

It is an arithmetic number, because the mean of its divisors is an integer number (35056064).

Almost surely, 21374170304 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 1374170304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963139584).

1374170304 is an abundant number, since it is smaller than the sum of its proper divisors (2552108864).

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

1374170304 is a wasteful number, since it uses less digits than its factorization.

1374170304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 1374170304 is about 37069.8031286922. The cubic root of 1374170304 is about 1111.7663363567.

The spelling of 1374170304 in words is "one billion, three hundred seventy-four million, one hundred seventy thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 607 624 832 907 1214 1248 1814 1821 2428 2496 2721 3628 3642 4856 5442 7256 7284 7891 9712 10884 11791 14512 14568 15782 19424 21768 23582 23673 29024 29136 31564 35373 38848 43536 47164 47346 58048 58272 63128 70746 87072 94328 94692 116544 126256 141492 174144 188656 189384 252512 282984 377312 378768 505024 550549 565968 754624 757536 1101098 1131936 1515072 1651647 2202196 2263872 3303294 4404392 6606588 7157137 8808784 13213176 14314274 17617568 21471411 26426352 28628548 35235136 42942822 52852704 57257096 85885644 105705408 114514192 171771288 229028384 343542576 458056768 687085152 1374170304