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114474300 = 223523710313
BaseRepresentation
bin1101101001010…
…11110100111100
321222101220012220
412310223310330
5213301134200
615205325340
72560005213
oct664536474
9258356186
10114474300
1159688266
1232406850
131a940a95
14112bc07a
15a0b34a0
hex6d2bd3c

114474300 has 72 divisors (see below), whose sum is σ = 340196976. Its totient is φ = 29698560.

The previous prime is 114474287. The next prime is 114474313. The reversal of 114474300 is 3474411.

It is an interprime number because it is at equal distance from previous prime (114474287) and next prime (114474313).

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, 5944 + ... + 16256.

It is an arithmetic number, because the mean of its divisors is an integer number (4724958).

Almost surely, 2114474300 is an apocalyptic number.

114474300 is a gapful number since it is divisible by the number (10) 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 114474300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170098488).

114474300 is an abundant number, since it is smaller than the sum of its proper divisors (225722676).

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

114474300 is a wasteful number, since it uses less digits than its factorization.

114474300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10367 (or 10360 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 114474300 is about 10699.2663299873. The cubic root of 114474300 is about 485.5522811994.

The spelling of 114474300 in words is "one hundred fourteen million, four hundred seventy-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 10313 11100 20626 30939 41252 51565 61878 103130 123756 154695 206260 257825 309390 381581 515650 618780 763162 773475 1031300 1144743 1526324 1546950 1907905 2289486 3093900 3815810 4578972 5723715 7631620 9539525 11447430 19079050 22894860 28618575 38158100 57237150 114474300