Search a number
-
+
307730400 = 25352128221
BaseRepresentation
bin10010010101111…
…001011111100000
3210110001022202020
4102111321133200
51112234333100
650311421440
710424444115
oct2225713740
9713038666
10307730400
1114878444a
1287084880
134b9a65c3
142cc2690c
151c0395a0
hex125797e0

307730400 has 72 divisors (see below), whose sum is σ = 1001670264. Its totient is φ = 82060800.

The previous prime is 307730387. The next prime is 307730407. The reversal of 307730400 is 4037703.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (307730407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61711 + ... + 66510.

It is an arithmetic number, because the mean of its divisors is an integer number (13912087).

Almost surely, 2307730400 is an apocalyptic number.

307730400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

307730400 is an abundant number, since it is smaller than the sum of its proper divisors (693939864).

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

307730400 is a wasteful number, since it uses less digits than its factorization.

307730400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128244 (or 128231 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 24.

The square root of 307730400 is about 17542.2461503651. The cubic root of 307730400 is about 675.1342394196.

The spelling of 307730400 in words is "three hundred seven million, seven hundred thirty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 128221 256442 384663 512884 641105 769326 1025768 1282210 1538652 1923315 2051536 2564420 3077304 3205525 3846630 4103072 5128840 6154608 6411050 7693260 9616575 10257680 12309216 12822100 15386520 19233150 20515360 25644200 30773040 38466300 51288400 61546080 76932600 102576800 153865200 307730400