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674009040 = 243519791871
BaseRepresentation
bin101000001011001…
…000111111010000
31201222021012120210
4220023020333100
52340021242130
6150514204120
722462660635
oct5013107720
91658235523
10674009040
11316507a71
12169883640
13a983c123
146573018c
153e28b5b0
hex282c8fd0

674009040 has 160 divisors (see below), whose sum is σ = 2228428800. Its totient is φ = 168030720.

The previous prime is 674009023. The next prime is 674009051. The reversal of 674009040 is 40900476.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 674008989 and 674009007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359305 + ... + 361175.

It is an arithmetic number, because the mean of its divisors is an integer number (13927680).

Almost surely, 2674009040 is an apocalyptic number.

674009040 is a gapful number since it is divisible by the number (60) 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 674009040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114214400).

674009040 is an abundant number, since it is smaller than the sum of its proper divisors (1554419760).

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

674009040 is a wasteful number, since it uses less digits than its factorization.

674009040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 674009040 is about 25961.6840748053. The cubic root of 674009040 is about 876.7758394274.

The spelling of 674009040 in words is "six hundred seventy-four million, nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 79 80 95 114 120 152 158 190 228 237 240 285 304 316 380 395 456 474 570 632 760 790 912 948 1140 1185 1264 1501 1520 1580 1871 1896 2280 2370 3002 3160 3742 3792 4503 4560 4740 5613 6004 6320 7484 7505 9006 9355 9480 11226 12008 14968 15010 18012 18710 18960 22452 22515 24016 28065 29936 30020 35549 36024 37420 44904 45030 56130 60040 71098 72048 74840 89808 90060 106647 112260 120080 142196 147809 149680 177745 180120 213294 224520 284392 295618 355490 360240 426588 443427 449040 533235 568784 591236 710980 739045 853176 886854 1066470 1182472 1421960 1478090 1706352 1773708 2132940 2217135 2364944 2808371 2843920 2956180 3547416 4265880 4434270 5616742 5912360 7094832 8425113 8531760 8868540 11233484 11824720 14041855 16850226 17737080 22466968 28083710 33700452 35474160 42125565 44933936 56167420 67400904 84251130 112334840 134801808 168502260 224669680 337004520 674009040