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401936340 = 2235132512053
BaseRepresentation
bin10111111101010…
…000111111010100
31001000022111000010
4113331100333110
51310343430330
6103514520220
712650255031
oct2775207724
91030274003
10401936340
111969787a3
12b2736070
136536ba70
143b54a388
15254473b0
hex17f50fd4

401936340 has 96 divisors (see below), whose sum is σ = 1217414016. Its totient is φ = 98496000.

The previous prime is 401936333. The next prime is 401936363. The reversal of 401936340 is 43639104.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 401936298 and 401936307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194754 + ... + 196806.

It is an arithmetic number, because the mean of its divisors is an integer number (12681396).

Almost surely, 2401936340 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 401936340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608707008).

401936340 is an abundant number, since it is smaller than the sum of its proper divisors (815477676).

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

401936340 is a wasteful number, since it uses less digits than its factorization.

401936340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2329 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 401936340 is about 20048.3500568002. The cubic root of 401936340 is about 737.9933093304.

The spelling of 401936340 in words is "four hundred one million, nine hundred thirty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 251 260 390 502 753 780 1004 1255 1506 2053 2510 3012 3263 3765 4106 5020 6159 6526 7530 8212 9789 10265 12318 13052 15060 16315 19578 20530 24636 26689 30795 32630 39156 41060 48945 53378 61590 65260 80067 97890 106756 123180 133445 160134 195780 266890 320268 400335 515303 533780 800670 1030606 1545909 1601340 2061212 2576515 3091818 5153030 6183636 6698939 7729545 10306060 13397878 15459090 20096817 26795756 30918180 33494695 40193634 66989390 80387268 100484085 133978780 200968170 401936340