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114376704 = 214313179
BaseRepresentation
bin1101101000101…
…00000000000000
321222012221100020
412310110000000
5213240023304
615203253440
72556120531
oct664240000
9258187306
10114376704
1159620a02
123237a280
131a908530
1411294688
15a0945d9
hex6d14000

114376704 has 120 divisors (see below), whose sum is σ = 330291360. Its totient is φ = 34996224.

The previous prime is 114376649. The next prime is 114376727. The reversal of 114376704 is 407673411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 638887 + ... + 639065.

It is an arithmetic number, because the mean of its divisors is an integer number (2752428).

Almost surely, 2114376704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114376704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165145680).

114376704 is an abundant number, since it is smaller than the sum of its proper divisors (215914656).

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

114376704 is an equidigital number, since it uses as much as digits as its factorization.

114376704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 114376704 is about 10694.7044839958. The cubic root of 114376704 is about 485.4142547783.

The spelling of 114376704 in words is "one hundred fourteen million, three hundred seventy-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 179 192 208 256 312 358 384 416 512 537 624 716 768 832 1024 1074 1248 1432 1536 1664 2048 2148 2327 2496 2864 3072 3328 4096 4296 4654 4992 5728 6144 6656 6981 8192 8592 9308 9984 11456 12288 13312 13962 16384 17184 18616 19968 22912 24576 26624 27924 34368 37232 39936 45824 49152 53248 55848 68736 74464 79872 91648 106496 111696 137472 148928 159744 183296 212992 223392 274944 297856 319488 366592 446784 549888 595712 638976 733184 893568 1099776 1191424 1466368 1787136 2199552 2382848 2932736 3574272 4399104 4765696 7148544 8798208 9531392 14297088 19062784 28594176 38125568 57188352 114376704