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374064240 = 24351131171
BaseRepresentation
bin10110010010111…
…100010001110000
3222001212102200010
4112102330101300
51231230023430
6101041254520
712161331204
oct2622742160
9861772603
10374064240
11182171000
12a5334440
135c6604b4
1437972b04
1522c8dcb0
hex164bc470

374064240 has 160 divisors (see below), whose sum is σ = 1276561152. Its totient is φ = 90604800.

The previous prime is 374064221. The next prime is 374064263. The reversal of 374064240 is 42460473.

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 = 374064198 and 374064207.

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, 318855 + ... + 320025.

Almost surely, 2374064240 is an apocalyptic number.

374064240 is a gapful number since it is divisible by the number (30) 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 374064240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638280576).

374064240 is an abundant number, since it is smaller than the sum of its proper divisors (902496912).

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

374064240 is a wasteful number, since it uses less digits than its factorization.

374064240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 374064240 is about 19340.7404201597. The cubic root of 374064240 is about 720.5244635557.

The spelling of 374064240 in words is "three hundred seventy-four million, sixty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 121 132 165 176 220 240 242 264 330 363 440 484 528 605 660 726 880 968 1171 1210 1320 1331 1452 1815 1936 2342 2420 2640 2662 2904 3513 3630 3993 4684 4840 5324 5808 5855 6655 7026 7260 7986 9368 9680 10648 11710 12881 13310 14052 14520 15972 17565 18736 19965 21296 23420 25762 26620 28104 29040 31944 35130 38643 39930 46840 51524 53240 56208 63888 64405 70260 77286 79860 93680 103048 106480 128810 140520 141691 154572 159720 193215 206096 257620 281040 283382 309144 319440 386430 425073 515240 566764 618288 708455 772860 850146 1030480 1133528 1416910 1545720 1558601 1700292 2125365 2267056 2833820 3091440 3117202 3400584 4250730 4675803 5667640 6234404 6801168 7793005 8501460 9351606 11335280 12468808 15586010 17002920 18703212 23379015 24937616 31172020 34005840 37406424 46758030 62344040 74812848 93516060 124688080 187032120 374064240