Search a number
-
+
374106432 = 2637278353
BaseRepresentation
bin10110010011000…
…110100101000000
3222001221120112210
4112103012211000
51231232401212
6101042222120
712161565210
oct2623064500
9861846483
10374106432
1118219a777
12a5354940
135c67676b
1437984240
1522c9b53c
hex164c6940

374106432 has 56 divisors (see below), whose sum is σ = 1131230656. Its totient is φ = 106887168.

The previous prime is 374106401. The next prime is 374106443. The reversal of 374106432 is 234601473.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 374106432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137833 + ... + 140520.

Almost surely, 2374106432 is an apocalyptic number.

374106432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

374106432 is an abundant number, since it is smaller than the sum of its proper divisors (757124224).

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

374106432 is a wasteful number, since it uses less digits than its factorization.

374106432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278375 (or 278365 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 374106432 is about 19341.8311439222. The cubic root of 374106432 is about 720.5515526864.

The spelling of 374106432 in words is "three hundred seventy-four million, one hundred six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 278353 556706 835059 1113412 1670118 1948471 2226824 3340236 3896942 4453648 5845413 6680472 7793884 8907296 11690826 13360944 15587768 17814592 23381652 26721888 31175536 46763304 53443776 62351072 93526608 124702144 187053216 374106432