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2744402040 = 2333510324671
BaseRepresentation
bin1010001110010100…
…0100000001111000
321002021002001212000
42203211010001320
521110031331130
61132154021000
7125003014062
oct24345040170
97067061760
102744402040
111189163966
12647117760
13349761b43
141c06b0732
15110e06260
hexa3944078

2744402040 has 128 divisors (see below), whose sum is σ = 9237196800. Its totient is φ = 724705920.

The previous prime is 2744401993. The next prime is 2744402053. The reversal of 2744402040 is 402044472.

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

It is a junction number, because it is equal to n+sod(n) for n = 2744401995 and 2744402013.

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, 98905 + ... + 123575.

It is an arithmetic number, because the mean of its divisors is an integer number (72165600).

Almost surely, 22744402040 is an apocalyptic number.

2744402040 is a gapful number since it is divisible by the number (20) 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 2744402040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4618598400).

2744402040 is an abundant number, since it is smaller than the sum of its proper divisors (6492794760).

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

2744402040 is a wasteful number, since it uses less digits than its factorization.

2744402040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24794 (or 24784 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 2744402040 is about 52387.0407639141. The cubic root of 2744402040 is about 1400.0683708106.

The spelling of 2744402040 in words is "two billion, seven hundred forty-four million, four hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 103 108 120 135 180 206 216 270 309 360 412 515 540 618 824 927 1030 1080 1236 1545 1854 2060 2472 2781 3090 3708 4120 4635 5562 6180 7416 9270 11124 12360 13905 18540 22248 24671 27810 37080 49342 55620 74013 98684 111240 123355 148026 197368 222039 246710 296052 370065 444078 493420 592104 666117 740130 888156 986840 1110195 1332234 1480260 1776312 2220390 2541113 2664468 2960520 3330585 4440780 5082226 5328936 6661170 7623339 8881560 10164452 12705565 13322340 15246678 20328904 22870017 25411130 26644680 30493356 38116695 45740034 50822260 60986712 68610051 76233390 91480068 101644520 114350085 137220102 152466780 182960136 228700170 274440204 304933560 343050255 457400340 548880408 686100510 914800680 1372201020 2744402040