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3122300400 = 2435219136943
BaseRepresentation
bin1011101000011010…
…1000010111110000
322001121011021221120
42322012220113300
522343302103100
61233453422240
7140242054422
oct27206502760
98047137846
103122300400
11136250355a
1273179a980
133a9b3553b
14218960812
151341a10a0
hexba1a85f0

3122300400 has 120 divisors (see below), whose sum is σ = 10528254720. Its totient is φ = 788785920.

The previous prime is 3122300383. The next prime is 3122300413. The reversal of 3122300400 is 40032213.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3122300400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45672 + ... + 91271.

It is an arithmetic number, because the mean of its divisors is an integer number (87735456).

Almost surely, 23122300400 is an apocalyptic number.

3122300400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3122300400 is an abundant number, since it is smaller than the sum of its proper divisors (7405954320).

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

3122300400 is a wasteful number, since it uses less digits than its factorization.

3122300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136983 (or 136972 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3122300400 is about 55877.5482640389. The cubic root of 3122300400 is about 1461.5877516440.

Adding to 3122300400 its reverse (40032213), we get a palindrome (3162332613).

The spelling of 3122300400 in words is "three billion, one hundred twenty-two million, three hundred thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 150 152 190 200 228 240 285 300 304 380 400 456 475 570 600 760 912 950 1140 1200 1425 1520 1900 2280 2850 3800 4560 5700 7600 11400 22800 136943 273886 410829 547772 684715 821658 1095544 1369430 1643316 2054145 2191088 2601917 2738860 3286632 3423575 4108290 5203834 5477720 6573264 6847150 7805751 8216580 10270725 10407668 10955440 13009585 13694300 15611502 16433160 20541450 20815336 26019170 27388600 31223004 32866320 39028755 41082900 41630672 52038340 54777200 62446008 65047925 78057510 82165800 104076680 124892016 130095850 156115020 164331600 195143775 208153360 260191700 312230040 390287550 520383400 624460080 780575100 1040766800 1561150200 3122300400