Search a number
-
+
401353700 = 2252113171151
BaseRepresentation
bin10111111011000…
…010101111100100
31000222012212202212
4113323002233210
51310221304300
6103454222552
712642310256
oct2773025744
91028185685
10401353700
1119660aa80
12b24b4a58
13651c67c7
143b437cd6
152537e935
hex17ec2be4

401353700 has 72 divisors (see below), whose sum is σ = 953938944. Its totient is φ = 145360000.

The previous prime is 401353679. The next prime is 401353717. The reversal of 401353700 is 7353104.

It is a happy number.

It is a super-2 number, since 2×4013537002 = 322169585007380000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348125 + ... + 349275.

It is an arithmetic number, because the mean of its divisors is an integer number (13249152).

Almost surely, 2401353700 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 401353700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476969472).

401353700 is an abundant number, since it is smaller than the sum of its proper divisors (552585244).

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

401353700 is a wasteful number, since it uses less digits than its factorization.

401353700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 401353700 is about 20033.8139154780. The cubic root of 401353700 is about 737.6365427545.

The spelling of 401353700 in words is "four hundred one million, three hundred fifty-three thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 317 550 634 1100 1151 1268 1585 2302 3170 3487 4604 5755 6340 6974 7925 11510 12661 13948 15850 17435 23020 25322 28775 31700 34870 50644 57550 63305 69740 87175 115100 126610 174350 253220 316525 348700 364867 633050 729734 1266100 1459468 1824335 3648670 4013537 7297340 8027074 9121675 16054148 18243350 20067685 36486700 40135370 80270740 100338425 200676850 401353700