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374054940 = 223257307967
BaseRepresentation
bin10110010010111…
…010000000011100
3222001211221220200
4112102322000130
51231224224230
6101041143500
712161262120
oct2622720034
9861757820
10374054940
11182165016
12a532ab90
135c6591ac
143796d580
1522c8b160
hex164ba01c

374054940 has 144 divisors (see below), whose sum is σ = 1302292992. Its totient is φ = 85131648.

The previous prime is 374054921. The next prime is 374054951. The reversal of 374054940 is 49450473.

374054940 is a `hidden beast` number, since 3 + 74 + 0 + 549 + 40 = 666.

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 = 374054895 and 374054904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 386337 + ... + 387303.

Almost surely, 2374054940 is an apocalyptic number.

374054940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a pronic number, being equal to 19340×19341.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 374054940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651146496).

374054940 is an abundant number, since it is smaller than the sum of its proper divisors (928238052).

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

374054940 is a wasteful number, since it uses less digits than its factorization.

374054940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 374054940 is about 19340.4999935369. The cubic root of 374054940 is about 720.5184922702.

The spelling of 374054940 in words is "three hundred seventy-four million, fifty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 307 315 420 614 630 921 967 1228 1260 1535 1842 1934 2149 2763 2901 3070 3684 3868 4298 4605 4835 5526 5802 6140 6447 6769 8596 8703 9210 9670 10745 11052 11604 12894 13538 13815 14505 17406 18420 19340 19341 20307 21490 25788 27076 27630 29010 32235 33845 34812 38682 40614 42980 43515 55260 58020 60921 64470 67690 77364 81228 87030 96705 101535 121842 128940 135380 174060 193410 203070 243684 296869 304605 386820 406140 593738 609210 890607 1187476 1218420 1484345 1781214 2078083 2671821 2968690 3562428 4156166 4453035 5343642 5937380 6234249 8312332 8906070 10390415 10687284 12468498 13359105 17812140 18702747 20780830 24936996 26718210 31171245 37405494 41561660 53436420 62342490 74810988 93513735 124684980 187027470 374054940