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398661901 = 11414361337
BaseRepresentation
bin10111110000110…
…001100100001101
31000210011010022121
4113300301210031
51304024140101
6103320412541
712610366411
oct2760614415
91023133277
10398661901
11195041650
12b1617151
1364793521
143ad36d41
1524eec0a1
hex17c3190d

398661901 has 32 divisors (see below), whose sum is σ = 464720256. Its totient is φ = 338688000.

The previous prime is 398661877. The next prime is 398661973. The reversal of 398661901 is 109166893.

It is a 6-Lehmer number, since φ(398661901) divides (398661901-1)6.

It is a cyclic number.

It is not a de Polignac number, because 398661901 - 211 = 398659853 is a prime.

It is a super-2 number, since 2×3986619012 = 317862622617867602, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398665901) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1182805 + ... + 1183141.

It is an arithmetic number, because the mean of its divisors is an integer number (14522508).

It is a Poulet number, since it divides 2398661900-1.

Almost surely, 2398661901 is an apocalyptic number.

It is an amenable number.

398661901 is a deficient number, since it is larger than the sum of its proper divisors (66058355).

398661901 is a wasteful number, since it uses less digits than its factorization.

398661901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493.

The product of its (nonzero) digits is 69984, while the sum is 43.

The square root of 398661901 is about 19966.5195014053. The cubic root of 398661901 is about 735.9837820593.

The spelling of 398661901 in words is "three hundred ninety-eight million, six hundred sixty-one thousand, nine hundred one".

Divisors: 1 11 41 43 61 337 451 473 671 1763 2501 2623 3707 13817 14491 19393 20557 27511 28853 107543 151987 159401 226127 594131 842837 883951 1182973 6535441 9271207 9723461 36241991 398661901