Search a number
-
+
370114272 = 2535114327
BaseRepresentation
bin10110000011110…
…111111011100000
3221210102202100000
4112003313323200
51224222124042
6100420500000
712112630233
oct2603677340
9853382300
10370114272
1117aa13370
12a3b4a600
135b8a9638
143722541a
152275d74c
hex160f7ee0

370114272 has 144 divisors (see below), whose sum is σ = 1190996352. Its totient is φ = 112129920.

The previous prime is 370114271. The next prime is 370114273. The reversal of 370114272 is 272411073.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (370114271) and next prime (370114273).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (370114271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83373 + ... + 87699.

It is an arithmetic number, because the mean of its divisors is an integer number (8270808).

Almost surely, 2370114272 is an apocalyptic number.

370114272 is a gapful number since it is divisible by the number (32) 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 370114272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595498176).

370114272 is an abundant number, since it is smaller than the sum of its proper divisors (820882080).

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

370114272 is a wasteful number, since it uses less digits than its factorization.

370114272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4363 (or 4343 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 370114272 is about 19238.3541915622. The cubic root of 370114272 is about 717.9793343473.

The spelling of 370114272 in words is "three hundred seventy million, one hundred fourteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 243 264 288 297 324 352 396 432 486 528 594 648 792 864 891 972 1056 1188 1296 1584 1782 1944 2376 2592 2673 3168 3564 3888 4327 4752 5346 7128 7776 8654 9504 10692 12981 14256 17308 21384 25962 28512 34616 38943 42768 47597 51924 69232 77886 85536 95194 103848 116829 138464 142791 155772 190388 207696 233658 285582 311544 350487 380776 415392 428373 467316 571164 623088 700974 761552 856746 934632 1051461 1142328 1246176 1285119 1401948 1523104 1713492 1869264 2102922 2284656 2570238 2803896 3426984 3738528 3855357 4205844 4569312 5140476 5607792 6853968 7710714 8411688 10280952 11215584 11566071 13707936 15421428 16823376 20561904 23132142 30842856 33646752 41123808 46264284 61685712 92528568 123371424 185057136 370114272