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374473216 = 2913127443
BaseRepresentation
bin10110010100100…
…000001000000000
3222002122012200101
4112110200020000
51231331120331
6101054132144
712164653435
oct2624401000
9862565611
10374473216
111824202a7
12a54b1054
135c7746b0
1437a3bb8c
1522d20061
hex16520200

374473216 has 80 divisors (see below), whose sum is σ = 813947904. Its totient is φ = 171085824.

The previous prime is 374473171. The next prime is 374473219. The reversal of 374473216 is 612374473.

It is not an unprimeable number, because it can be changed into a prime (374473219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 845091 + ... + 845533.

Almost surely, 2374473216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 374473216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406973952).

374473216 is an abundant number, since it is smaller than the sum of its proper divisors (439474688).

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

374473216 is a wasteful number, since it uses less digits than its factorization.

374473216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 585 counting only the distinct ones).

The product of its digits is 84672, while the sum is 37.

The square root of 374473216 is about 19351.3104465822. The cubic root of 374473216 is about 720.7869584727.

The spelling of 374473216 in words is "three hundred seventy-four million, four hundred seventy-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 127 128 208 254 256 416 443 508 512 832 886 1016 1651 1664 1772 2032 3302 3328 3544 4064 5759 6604 6656 7088 8128 11518 13208 14176 16256 23036 26416 28352 32512 46072 52832 56261 56704 65024 92144 105664 112522 113408 184288 211328 225044 226816 368576 422656 450088 731393 737152 845312 900176 1462786 1474304 1800352 2925572 2948608 3600704 5851144 7201408 11702288 14402816 23404576 28805632 46809152 93618304 187236608 374473216