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1374704640 = 21032529833
BaseRepresentation
bin101000111110000…
…0101010000000000
310112210202020020200
41101330011100000
510303411022030
6344224405200
746031540151
oct12174052000
93483666220
101374704640
11645a91a41
12324476800
1318ba62cca
14d0809928
1580a49d60
hex51f05400

1374704640 has 132 divisors (see below), whose sum is σ = 4763475444. Its totient is φ = 366575616.

The previous prime is 1374704629. The next prime is 1374704657. The reversal of 1374704640 is 464074731.

It is a happy number.

1374704640 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 7 + 0 + 4 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 539725824 + 834978816 = 23232^2 + 28896^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1374704595 and 1374704604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31164 + ... + 60996.

Almost surely, 21374704640 is an apocalyptic number.

1374704640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1374704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2381737722).

1374704640 is an abundant number, since it is smaller than the sum of its proper divisors (3388770804).

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

1374704640 is a wasteful number, since it uses less digits than its factorization.

1374704640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29864 (or 29843 counting only the distinct ones).

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

The square root of 1374704640 is about 37077.0095881531. The cubic root of 1374704640 is about 1111.9104183999.

The spelling of 1374704640 in words is "one billion, three hundred seventy-four million, seven hundred four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3840 4608 5120 5760 7680 9216 11520 15360 23040 29833 46080 59666 89499 119332 149165 178998 238664 268497 298330 357996 447495 477328 536994 596660 715992 894990 954656 1073988 1193320 1342485 1431984 1789980 1909312 2147976 2386640 2684970 2863968 3579960 3818624 4295952 4773280 5369940 5727936 7159920 7637248 8591904 9546560 10739880 11455872 14319840 15274496 17183808 19093120 21479760 22911744 28639680 30548992 34367616 38186240 42959520 45823488 57279360 68735232 76372480 85919040 91646976 114558720 137470464 152744960 171838080 229117440 274940928 343676160 458234880 687352320 1374704640