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194340816 = 24331923677
BaseRepresentation
bin10111001010101…
…10011111010000
3111112200112111000
423211112133100
5344222401231
631141222000
74546604205
oct1345263720
9445615430
10194340816
119a77814a
1255101900
1331355487
141bb4bcac
15120dc6e6
hexb9567d0

194340816 has 80 divisors (see below), whose sum is σ = 587214400. Its totient is φ = 61368192.

The previous prime is 194340763. The next prime is 194340827. The reversal of 194340816 is 618043491.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3631 + ... + 20046.

It is an arithmetic number, because the mean of its divisors is an integer number (7340180).

Almost surely, 2194340816 is an apocalyptic number.

194340816 is a gapful number since it is divisible by the number (16) 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 194340816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293607200).

194340816 is an abundant number, since it is smaller than the sum of its proper divisors (392873584).

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

194340816 is a wasteful number, since it uses less digits than its factorization.

194340816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23713 (or 23701 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 194340816 is about 13940.6174899106. The cubic root of 194340816 is about 579.2348372207.

The spelling of 194340816 in words is "one hundred ninety-four million, three hundred forty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 8208 23677 47354 71031 94708 142062 189416 213093 284124 378832 426186 449863 568248 639279 852372 899726 1136496 1278558 1349589 1704744 1799452 2557116 2699178 3409488 3598904 4048767 5114232 5398356 7197808 8097534 10228464 10796712 12146301 16195068 21593424 24292602 32390136 48585204 64780272 97170408 194340816