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1374240672 = 25327297381
BaseRepresentation
bin101000111101001…
…0011111110100000
310112202212122210200
41101322103332200
510303301200142
6344210425200
746024565400
oct12172237640
93482778720
101374240672
116457a53a2
12324292200
1318b92ca7c
14d0728800
15809a764c
hex51e93fa0

1374240672 has 108 divisors (see below), whose sum is σ = 4546083906. Its totient is φ = 392636160.

The previous prime is 1374240667. The next prime is 1374240689. The reversal of 1374240672 is 2760424731.

1374240672 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 971194896 + 403045776 = 31164^2 + 20076^2 .

It is a super-3 number, since 3×13742406723 (a number of 28 digits) contains 333 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 17 ways as a sum of consecutive naturals, for example, 34579 + ... + 62802.

Almost surely, 21374240672 is an apocalyptic number.

1374240672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1374240672 is an abundant number, since it is smaller than the sum of its proper divisors (3171843234).

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

1374240672 is a wasteful number, since it uses less digits than its factorization.

1374240672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97411 (or 97393 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 1374240672 is about 37070.7522448628. The cubic root of 1374240672 is about 1111.7853130046.

The spelling of 1374240672 in words is "one billion, three hundred seventy-four million, two hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3528 4704 7056 14112 97381 194762 292143 389524 584286 681667 779048 876429 1168572 1363334 1558096 1752858 2045001 2337144 2726668 3116192 3505716 4090002 4674288 4771669 5453336 6135003 7011432 8180004 9348576 9543338 10906672 12270006 14022864 14315007 16360008 19086676 21813344 24540012 28045728 28630014 32720016 38173352 42945021 49080024 57260028 65440032 76346704 85890042 98160048 114520056 152693408 171780084 196320096 229040112 343560168 458080224 687120336 1374240672